If we know that she got 75%, we can write it as the fraction 75/100.
We also know that she got 60 correct out of an unknown number of questions, which we can call 'x'
We means we know that 75/100 = 60/x (the number of questions)
Cross multiply to get an equation.
75 * x=60 * 100 -----> 75x=6000
Divide both sides by 75 to solve for x.
6000/75=80
x=80, meaning that her test had 80 questions on it.
Answer:
Angle BEC = 108°
Step-by-step explanation:
Vertical angles formed when two straight lines intersect are always congruent to each other. That is, the vertical opposite angles formed are of the same measure.
Angle AED = 108°
Angle AED and angle BEC are vertical opposite angles form by intersecting lines, therefore, angle AED = angle BEC.
Angle BEC = 108°
The "slope" means how far you rise when you travel 1 unit horizontally.
"Steeper" means you rise higher for each horizontal distance ... more slope.
A slope of 1/12 means 12 horizontal units raise you one unit higher.
12 horizontal inches raise you 1 inch higher.
1 horizontal foot raises you 1 inch higher.
12 horizontal feet raises you 1 foot higher.
In order to rise 2 feet, you'd have to cover (2 x 12) = 24 horizontal feet
on a 1/12 slope.
P(the students she selects are both boys)=7/12×5/10=35/120=7/24